Practice Rotation Operations - 18.5 | 18. AVL Tree Rotations | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What defines the slope of a node in a binary tree?

💡 Hint: Think about how we measure heights of separate subtrees.

Question 2

Easy

What is performed when the slope is +2?

💡 Hint: Consider what happens based on left properties.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What happens when the slope of a node is +2?

  • Left Rotation
  • Right Rotation
  • No Rotation

💡 Hint: Think about how we correct balance favoring the left subtree.

Question 2

True or False: Heights must be computed recursively for every tree operation.

  • True
  • False

💡 Hint: Remember why it's inefficient to compute heights all the time.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a binary tree with a series of insertions leading to an imbalance, describe how you would perform successive right and left rotations.

💡 Hint: Map out the tree after several insertions to visualize needed rotations.

Question 2

Explain the consequences of failing to maintain height information in nodes after rotations.

💡 Hint: Consider how balancing impacts retrieval performance.

Challenge and get performance evaluation